| Title:
|
Transformation of optimal control problems of descriptor systems into problems with state-space systems (English) |
| Author:
|
Stefanovski, Jovan |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
48 |
| Issue:
|
6 |
| Year:
|
2012 |
| Pages:
|
1156-1179 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We show how we can transform the ${\mathscr H}_\infty$ and ${\mathscr H}_2$ control problems of descriptor systems with invariant zeros on the extended imaginary into problems with state-space systems without such zeros. Then we present necessary and sufficient conditions for existence of solutions of the original problems. Numerical algorithm for ${\mathscr H}_\infty$ control is given, based on the Nevanlinna-Pick theorem. Also, we present an explicit formula for the optimal ${\mathscr H}_2$ controller. (English) |
| Keyword:
|
parametrization of stabilizing controllers |
| Keyword:
|
inner matrices |
| Keyword:
|
${\mathscr H}_\infty$ and ${\mathscr H}_2$ control |
| MSC:
|
49J15 |
| MSC:
|
93D15 |
| idMR:
|
MR3052879 |
| . |
| Date available:
|
2013-01-10T09:24:15Z |
| Last updated:
|
2013-09-24 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/143124 |
| . |
| Reference:
|
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